Wednesday, August 17, 2022

# What Is Damping In Physics

## Shm Systems Under Damping

Damping and Force Oscillation | Waves | Physics

Damping changes the behaviour of S.H.M. systems. Certain features of the oscillation are dependent on the extent of damping.

An undamped system gives `normal’ S.H.M. – a sinusoidal trace – with constant amplitude – no energy transfer out of the sytem

In a lightly-damped system, the amplitude of oscillation decreases slowly as time goes on. An example of such a system would be a pendulum in a clock – air resistance causes the swing’s amplitude to decrease with time. the system suffers a steady drain of energy.

A heavily-damped system moves slowly until coming to rest. It does not oscillate but the governing equations are still the same. A spring-mass system immersed in a bath of very viscous liquid would be heavily-damped. Energy is drained from the system so that it takes longer to reach zero.

Critical damping causes a system’s amplitude to reach zero in the shortest time possible. Shock absorbers on cars are critically damped.

## Damped Simple Harmonic Motion

When the motion of an oscillator reduces due to an external force, the oscillator and its motion are damped. These periodic motions of gradually decreasing amplitude are damped simple harmonic motion. An example of a damped simple harmonic motion is a simple pendulum.

In the damped simple harmonic motion, the energy of the oscillator dissipates continuously. But for a small damping, the oscillations remain approximately periodic. The forces which dissipate the energy are generally frictional forces.

## What Is Torque Steer In Cars

Torque steer is a sensation that is commonly experienced in powerful front-wheel-drive cars. It happens under acceleration as the torque delivered by the engine overcomes the front tyres, resulting in either the steering wheel tugging in your hands, or the car pulling to one side of the road as you accelerate.

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## Damping In Structural Dynamics: Theory And Sources

If you strike a bowl made of glass or metal, you hear a tone with an intensity that decays with time. In a world without damping, the tone would linger forever. In reality, there are several physical processes through which the kinetic and elastic energy in the bowl dissipate into other energy forms. In this blog post, we will discuss how damping can be represented, and the physical phenomena that cause damping in vibrating structures.

## The Dependency Of Electromagnetic Damping As the distance between the magnet and the conductor decreases, the damping force increases. The electromagnetic damping force is proportional to the induced eddy current, the magnetic field strength, and the speed of the object. This means that the faster the object moves, the greater the damping and the slower the motion of the lower object will be damping, which will result in a smooth stopping of the object.

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Students must have understood about Electromagnetic Damping through its detailed introduction and examples.

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## What Affects The Damping Of A Spring

What variables affect the damping of a spring executing simple harmonic motion?

What are the independent variables, and what variables would need to be controlled in an experiment?

I’m attempting to complete an investigation where I measure the decrease in amplitude of a damped spring, and to prove the relationship between variables in the motion.

Thanks!

You should already be familiar with damping. It simply refers to the fact that if you set a spring going, it eventually stops.

The wikipedia article should cover most of what you want to know.

Any particular spring may be damped for all sorts of reasons. Any way the spring can lose energy contributes to damping, so it could be lost internally to heat due to stressing the material, or externally to heat via friction, or externally to an electromagnetic field, to some sort of mechanical dashpot, etc.

If you were designing an experiment to study damping, you could be interested in a number of different particular things. You will have to make your own choice about what the most interesting thing to study is. For example, would you like measure the damping ratio? The overall magnitude of the damping effect? The time it takes your spring to reduce its amplitude to 1/2 its previous value?

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## What Is The Purpose Of Rubber Draw Sheet In Perineal Care

A draw sheet is a small bed sheet placed crosswise over the middle of the bottom sheet of a mattress to cover the area between the persons upper back and thighs, often used by medical professionals to move patients. It can be made of plastic, rubber, or cotton, and is about half the size of a regular sheet.

## Driven Oscillations And Resonance

Damping & Resonance – A-level Physics
• Driven harmonic oscillators are damped oscillators further affected by an externally applied force.
• If a frictional force proportional to the velocity is also present, the harmonic oscillator is described as a damped oscillator.
• Driven harmonic oscillators are damped oscillators further affected by an externally applied force F.
• \omega_0$, and the damping ratio$\!
• Describe a driven harmonic oscillator as a type of damped oscillator
• Back EMF, eddy currents, and magnetic damping are all due to induced EMF and can be explained by Faraday’s law of induction.
• Eddy currents can produce significant drag, called magnetic damping, on the motion involved.
• A common physics demonstration device for exploring eddy currents and magnetic damping.
• There is also no magnetic damping on a nonconducting bob, since the eddy currents are extremely small.
• Explain the relationship between the motional electromotive force, eddy currents, and magnetic damping
• The causes of damping are extremely subtle.
• Try extending a damping piston of the sort used on doors.
• where $\gamma$ is a constant reflecting the strength of the damping.

## How Is Damping Quantified

Damping of Simple Harmonic Motion (not DAMPENING, silly, it might mold!) | Doc Physics

There are several ways by which damping can be described from a mathematical point of view. Some of the more popular descriptions are summarized below.

One of the most obvious manifestations of damping is the amplitude decay during free vibrations, as in the case of a singing bowl. The rate of the decay depends on how large the damping is. It is most common that the vibration amplitude decreases exponentially with time. This is the case when the energy lost during a cycle is proportional to the amplitude of the cycle itself.

A typical singing bowl. Image by Sneharamm0han Own work. Licensed under CC BY-SA 4.0, via Wikimedia Commons.

Lets start out with the equation of motion for a system with a single degree of freedom with viscous damping and no external loads,

After division with the mass, m, we get a normalized form, usually written as

Here, \omega_0 is the undamped natural frequency and \zeta is called the damping ratio.

In order for the motion to be periodic, the damping ratio must be limited to the range 0 \le \zeta < 1. The amplitude of the free vibration in this system will decay with the factor

where T0 is the period of the undamped vibration.

Another measure in use is the logarithmic decrement, . This is the logarithm of the ratio between the amplitudes of two subsequent peaks,

where T is the period.

The relation between the logarithmic decrement and the damping ratio is

Amplification for a single-DOF system for different frequencies and damping ratios.

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## Expression Of Damped Simple Harmonic Motion

Lets take an example to understand what a damped simple harmonic motion is. Consider a block of mass m connected to an elastic string of spring constant k. In an ideal situation, if we push the block down a little and then release it, its angular frequency of oscillation is = k/ m.

However, in practice, an external force will exert a damping force on the motion of the block and the mechanical energy of the block-string system will decrease. This energy that is lost will appear as the heat of the surrounding medium.

The damping force depends on the nature of the surrounding medium. When we immerse the block in a liquid, the magnitude of damping will be much greater and the dissipation energy is much faster. Thus, the damping force is proportional to the velocity of the bob and acts opposite to the direction of the velocity. If the damping force is Fd, we have,

Fd = -b

where the constant b depends on the properties of the medium and size and shape of the block. Lets say O is the equilibrium position where the block settles after releasing it. Now, if we pull down or push the block a little, the restoring force on the block due to spring is Fs = -kx, where x is the displacement of the mass from its equilibrium position. Therefore, the total force acting on the mass at any time t is, F = -kx -b.

Now, if a is the acceleration of mass m at time t, then by Newtons Law of Motion along the direction of motion, we have

ma = -kx b

m + b + kx =0

x = Ae-bt/2m cos

=

## What Is Damping Force

Damping force definition in physics is involved when vibrating motion is restrained, for example, alternating electric currents, noise, mechanical oscillations, by the energy being dissipated. It is an influence upon or in a system that is oscillating that results in the prevention or reduction of the motion of oscillation. When we talk about physical systems, this is a phenomenon that is a result of processes that end up dissipating energy. For example, a child moving to and fro in a swing the motion will die down due to damping if the child stops pushing the swing in either direction.

On the other hand, there can be systems so damped that there is no vibration at all. Critical damping is something that stops vibration or is just enough so that the object can return to the rest position as soon as possible. One example of this is the automobile shock absorber. Additional damping can result in overdamping, and this is necessary in some cases, like in door closers. For undamped systems, the vibrations eventually taper off to being nothing.

Some of the damping examples are carpet pads, vibrating springs, shock absorbers in automobiles, sounds produced by tuning forks over long distances, clock pendulum, oscillations of the branch of a tree, RLC circuits, etc. Friction affects damping as the relative motion between two surfaces pushing against each other to cause dissipation of energy. The kinetic energy in damping gets converted to heat by friction.

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## What Is A Damping Text Books Say Damping Is Proportional To Velocity

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krab said:…It can be a constant , proportional to velocity , or proportional to velocity squared . Usually only the middle one is called damping.

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chandran said:What is a damping. Text books say damping is proportional to velocity. Why not damping is proportional force? or why not damping proportional to some other parameter. What does damping actually do ? Is there any practical application ?

A damped, driven oscillator is described by the equation :m \ddot – c \dot – kx = f_0 sin Here, c is called the damping coefficient, and accounts for dissipation in a non-ideal spring.

A damped, driven oscillator is described by the equation :m \ddot – c \dot – kx = f_0 sin Here, c is called the damping coefficient, and accounts for dissipation in a non-ideal spring.